Finding the Third Proportional to 213,855 and 298,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,855 : 298,981.50 = 298,981.50 : x
2. Step 2: Convert to fraction form
   213,855/298,981.50 = 298,981.50/x
3. Step 3: Cross multiply
   213,855x = 298,981.50 × 298,981.50
4. Step 4: Simplify right side
   213,855x = 89,389,937,342.25
5. Step 5: Solve for x
   x = 89,389,937,342.25/213,855
6. Step 6: Final answer
   x = 417,993.21